Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 14 and center of dilation ​(0, 0)​.

Answer:

f = 4 [tex]\frac{5}{37}[/tex]

Step-by-step explanation:

divide 1000 on both sides.

f = 4.135 repeating (the 135 is repeating.)

Put the .135135135... over 999 because it is repeating. F becomes 4[tex]\frac{135}{999}[/tex]

Simplify. f = [tex]4\frac{5}{37}[/tex]

Answer:

The simplified form of the expression √(100x³⁶) will be 10x¹⁸. Then the correct option is A.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ √(100x³⁶)

Then the simplified form of the expression will be

⇒ √[(10x¹⁸)²]

⇒ 10x¹⁸

Then the correct option is A.

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Answer:

Step-by-step explanation:

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The simplified form of √(400x¹⁰⁰) is;

D; 20x⁵⁰

We want to find the simplified form of √(400x¹⁰⁰)

Now, according to laws of indices;

√ab = √a × √b

Thus;

√(400x¹⁰⁰) = √400 × √(x¹⁰⁰)

⇒ 20√(x¹⁰⁰)

Also according to law of indices;

a⁴ = a²  × a²

Thus;

x¹⁰⁰ = x⁵⁰ × x⁵⁰

Thus;

√(x¹⁰⁰) = √(x⁵⁰ × x⁵⁰)

⇒ x⁵⁰

Our final answer is;

20x⁵⁰

Answer: 95 degrees (not an answer choice)

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so the left part of the angle is 40 degrees.

Adjacent angles of a parallelogram are supplementary, so the right part of the angle is 55 degrees.

Adding these together, we get 95 degrees.

Answer:

80

Step-by-step explanation:

we know that 1 percent of 30 is just 30 / 10 which is 3. Is 6 a multiple of 3? yes it is. 6 / 3 = 2. that means 6 is 20 percent of 30 but it hasn't been decreased by 6, it is 6. meaning that the answer is 100 - 20 which is 80

Answer:

D. Sqroot6

Step-by-step explanation:

6 is not a perfect square. So it is a non-repeating decimal that never ends

sqroot6 ~=

2.4494897428...

this is an irrational number.

The rest on the numbers can be written as a ratio:

0.45=45/100=9/20

0.63636363

= 63/99 = 7/11

sqrt25 = 5 = 5/1

that means they are rational.

The correct answer is option B i.e. (7.6, 8.8)

The length along a line or line segment between two points on the line or line segment.

Let the coordinates of the treasure be (x, y).

Let  d₁ =  distance from the rock to the treasure.

Let  d₂ =  distance from the tree to the treasure.

    d₁ = [tex]\sqrt{x^2 + (y-2)^2}[/tex]

    d₂ = [tex]\sqrt{(16-x)^2 + (21-y)^2}[/tex]

We want d₁/d₂ = 5/9 in order to locate the treasure.

Note that 5/9 = 0.556 (approx)

Test (11.4, 14.2)

d₁ = 14.8, d₂ = 8.2, d₁/d₂ = 1.8           Incorrect

Test (7.6, 8.8)

d₁ = 8.2,  d₂ = 14.8,  d₁/d₂ = 0.554    Correct

Test (5.7, 7.5)

d₁ = 6.13,  d₂ = 16.98, d₁/d₂ = 0.36   Incorrect

Test (10.2, 12.6)

d₁ = 12.8,  d₂ = 10.2, d₁/d₂ = 1.255   Incorrect

Thus, The correct answer is option B i.e.  (7.6, 8.8).

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The range would be all real numbers such that 0 ≤ y ≤ 40.

The complete question is

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. What is the range of this function? all real numbers such that y ≤ 40 all real numbers such that y ≥ 0 all real numbers such that 0 ≤ y ≤ 40 all real numbers such that 37.75 ≤ y ≤ 40\

A function is an algebraic expression which relates an independent variable with a dependent variable.

It always comes with a defined range and domain.

Draining rate is at 1.5 gallons per minute

That would be y = 1.5x +c

at x = 0 , y = 40

Therefore the equation is y = 1.5x + 40

and from the data

It can be interpreted that as the time increases the water is draining

The range would be all real numbers such that 0 ≤ y ≤ 40.

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C would be the correct answer, I just did the test and got the answer correct.

The median for Set A is (24+28)/2 = 26

The median for Set B is (21+25)/2 = 23

The mean for set A is (14+21+24+28+28+35)/6 = 25

The mean for set B is (18+19+21+25+29+32)/6 = 24.

Thus, the mean for Data Set A is greater than the mean for Data Set B.

Answer:

64 is the answer

Step-by-step explanation:

Mark me brainliest answer pls

Answer:

346

Step-by-step explanation:

Visitors on Friday(x)+Visitors on Saturday(2x)+Visitors on Suday(2x+234)

x+2x+2x+234=1099

5x+234=1099

5x=1099-234

5x=865

x=865/5

x=173

So, visitors on Saturday = 2x = 346

Answer:

No. (-1/2) is not an integer

Integers involve all the no. +ve and -ve. which can be written without fraction. ie whole no. are counted as integers.

(-1/2) is a fraction

Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585[/tex]

[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]

[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]

[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842[/tex]

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

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Answer:

look at the picture

Step-by-step explanation:

look at the picture

The estimated cost of the ending inventory, assuming the gross profit rate is 35% is; $11250

Let us first calculate the gross profit;

Gross Profit = Sales * Profit%

Gross Profit = 395000 * 35%

Gross Profit = $138250

Cost of goods sold = Sales - Gross Profit

Cost of goods sold = 395000 - 138250

Cost of goods sold = $256750

Cost of ending inventory = Cost of goods available for sale - Cost of goods sold

Cost of ending inventory = 268000 - 256750

Cost of ending inventory = $11250

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Using the Poisson distribution, the probabilities are given as follows:

A. 0.0888 = 8.88%.

B. 0.1354 = 13.54%.

C. 0.8646 = 86.46%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

Item a:

10 hours, 2 calls per hour, hence the mean is given by:

[tex]\mu = 2 \times 10 = 20[/tex].

The probability is P(X = 20), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 20) = \frac{e^{-20}20^{20}}{(20)!} = 0.0888[/tex]

Item b:

1 hour, hence the mean is given by:

[tex]\mu = 2[/tex]

The probability is P(X = 0), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1354[/tex]

Item c:

The probability is:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1354 = 0.8646[/tex]

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Answer:

m = 6, b= 9

Step-by-step explanation:

Simplifying the equation, we get y = 6x + 9.

Matching this up with y = mx + b, we get m = 6 and b = 9.

Answer:

f(x)=4^x exponential growth,  -6^x exponential decay Step-by-step explanation:

Based on the statistics from the worldwide health organization, the percentage change in those living with the disease is 19.7% and the change in those who have died is 70%.

This shows that the disease is getting worse and not being treated effectively.

The number of those living with the disease went from 71 million to 40 million:

= (85 - 71) / 71

= 19.7% increase

The percent change in those who have died is:

= (6.8 - 4) / 4

= 70% increase

This shows that the measures being implemented against the disease are not working because both the number of people who have the disease and have died from it has increased.

Full question is:
Based on statistics from a worldwide health organization, in 1999 there were 71 million people worldwide living with a certain disease, and 4 million deaths from the disease. By 2015, the number of people living with the disease had grown to 85 million, and 6.8 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw.

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Answer:

Step-by-step explanation:

The graph of the given f(x) shows you what you need to know. Nothing cancels. Two answers are going to be true: one for x<3 and one for x>6.

From the graph, you can see that for x>6 the graph is decreasing. That makes B incorrect.

You can also see that for x < 6 The bottom parabola shape is decreasing which makes A true.

Finally at least one of C or D has to be true. As you can see, they both are depending on which shape you look at.  

The correct answer is B: f(x) is increasing for all x > 6.

To determine the intervals of increase and decrease for the function f(x), we can analyze the critical points and the behavior of the derivative. The derivative of f(x) is given by:

f'(x) = [(x² - 9x + 18)'(x + 6) - (x + 6)'(x² - 9x + 18)] / (x² - 9x + 18)²

Simplifying the derivative and finding the critical points, we get:

f'(x) = (x² - 3x - 18) / (x² - 9x + 18)²

Setting the numerator equal to zero and solving for x, we find the critical points:

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x = 6 or x = -3

Analyzing the intervals created by the critical points and using test points, we find that f(x) is increasing for all x > 6. Therefore, the correct answer is B: f(x) is increasing for all x > 6.

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Answer:

I’m assuming you’re talking about what percentage was taken off, so in that case the answer would be approximately 20.6%

Step-by-step explanation:
67.5/85 X/100

cross multiply then divide by 100 to find for x and you get 79.4117

then, subtract this number from 100 and you will get 20.6%

Answer: [tex](-\infty, -3)[/tex]

Step-by-step explanation:

[tex]2w-2 < -8\\\\2w < -6\\\\w < -3[/tex]

[tex]4w+3 < 11\\\\4w < 8\\\\w < 2[/tex]

So, the solution is [tex](-\infty, -3)[/tex]

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

[tex]\frac{9100}{138320}[/tex]

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

[tex]\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}[/tex]

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The histogram will have a shape that is left-skewed. Then the correct option is B.

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

Students in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5

Then the mean will be

Mean = (5.5 + 6 + ..... + 6.5 + 5.5) / 15

Mean = 111.5/12

Mean = 7.4333

Then the median will be

Median = 7.5

The histogram will have a shape that is left-skewed.

Then the correct option is B.

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Answer:

The histogram will have a shape that is left-skewed.

The shape of the histogram can be approximated with a normal curve.

The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Step-by-step explanation:

B/2, D/4, E/5

Answer:

added in the picture

Step-by-step explanation:

added in the picture

Answer:

(0, a)

Step-by-step explanation:

We can start by imagining this rectangle as a square.

(This is written as if it is a square:)

The distance that a square reaches on the x-axis (assuming it has its lower left point at the origin, like this one does) is the same distance that it reaches on the y-axis.

meaning that we will have (length, 0) along the x-axis and (0, length) along the y-axis

so, if we are to treat this as a square, the point (2a, 0) means that our opposite vertex is (0, 2a)

However, because this length is only half of the length that it would be (if it were a square), we must divide our length by 2

2a ÷ 2 = a

So, the coordinates of the top-left vertex of this rectangle:

(0, a)

Answer:

coordinates of top left vertex: (0, a)

Answer:

No

Step-by-step explanation

The square root of 10 is irrational because it isn't a fraction

The ship is 88.8 miles far from the port at 4 pm.

Given,

The displacement from 1 to 3 in the afternoon.

D1 = 30 miles/hr × 2 hr

     = 60 miles to the north

The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.

Therefore, D2 = 30 miles/hr × 1 hr

                       = 30 miles to the 20° north eastward

By combining two vectors, the resulting displacement:

D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²

D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²

D = 88.8 miles

Hence the ship is 88.8 miles far away from the port at 4 pm.

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The value of x is calculated with the help of a similar triangle is 24.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In a triangle, if there is a parallel line with any side of the triangle, then the line divides the other sides in the same ratio.

Then we have

x / 12 = 32 / 16

     x = 24

Then the value of x is 24.

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